1
IIT-JEE 2011 Paper 1 Offline
+3
-0.75

A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in radian/s) is

A
9
B
18
C
27
D
36
2
IIT-JEE 2011 Paper 1 Offline
Numerical
+4
-0
A block is moving on an inclined plane making an angle $$45^\circ$$ with the horizontal and the coefficient of friction is $$\mu$$. The force required to just push it up the inclined plane is 3 times the force required to just prevent it from sliding down. If we define N = 10 $$\mu$$, then N is
3
IIT-JEE 2011 Paper 1 Offline
Numerical
+4
-0

Four solid spheres each of diameter $$\sqrt 5$$ cm and mass 0.5 kg are placed with their centers at the corners of a square of side 4 cm. The moment of inertia of the system about the diagonal of the square is N $$\times$$ 10−4 kg-m2, then N is

4
IIT-JEE 2011 Paper 1 Offline
+2
-0.5
5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be T1, the work done in the process is
A
$${9 \over 8}R{T_1}$$
B
$${3 \over 2}R{T_1}$$
C
$${15 \over 8}R{T_1}$$
D
$${9 \over 2}R{T_1}$$
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